Home / 1,209.68-1,668.95-929.30

Finding the Fourth Proportional to 1,209.68, 1,668.95 and 929.30

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Solution

The fourth proportional to 1,209.68, 1,668.95 and 929.30 is: 1,282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.68 : 1,668.95 = 929.30 : x
  2. Step 2: Convert to fraction form
    1,209.68/1,668.95 = 929.30/x
  3. Step 3: Cross multiply
    1,209.68x = 1,668.95 × 929.30
  4. Step 4: Simplify right side
    1,209.68x = 1,550,966.21
  5. Step 5: Solve for x
    x = 1,550,966.21/1,209.68
  6. Step 6: Final answer
    x = 1,282.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.